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arXiv · 2304.07826

A discussion of bisexual populations with Wolbachia infection as an evolution algebra

Songül Esin·Müge Kanuni·Barış Özdinç
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Abstract

In this paper, Wolbachia infection in a bisexual and diploid population with a fixed cytoplasmic incompatibility rate $w$ and maternal transmission rate $d$ is studied as an evolution algebra. As the cytoplasmic incompatibility (CI) of the population causes deaths in the offspring, the evolution algebra of this model is not baric, and is a dibaric algebra if and only if the cytoplasmic incompatibility rate $w$ is 1 and $d=1$. The idempotent elements are given in terms of $d$ and $w$. Moreover, this algebra has no absolute nilpotent elements when CI expression $w \neq 1$.

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Songül Esin, Müge Kanuni, Barış Özdinç. 2023-04-16. A discussion of bisexual populations with Wolbachia infection as an evolution algebra. https://arxiv.org/abs/2304.07826

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